点状电极单元在有效电势衰减下的固结计算与试验

Consolidation Calculation and Experiment of Punctiform Electrode Element with Effective Potential Attenuation

有效电势衰减导致电渗后期效果较差,而经典电渗固结理论无法考虑有效电势变化带来的影响。针对该问题,在矩形排布形式中以点状电极单元为研究模型,围绕有效电势衰减与中间变量引入时的限制条件之间的矛盾关系,引入黎曼求和形式对有效电势衰减进行多态分割,保证了黎曼状态段内中间变量方程的成立;考虑有效电势衰减与电渗固结在时间维度上的统一性,采用初始条件继承策略进行非稳态的迭代计算,将全时间域上的非稳态求解转化为状态段之间初始条件的更新迭代,并基于Galerkin法给出了方法的有限元形式,且利用Python进行了编程实现。此外,进行了电渗模型试验以验证理论方法的可靠性。研究表明:1)非对称点状电极单元在电渗过程中,阳极处有效电势的变化受到渗流路径长短的影响,较远处阳极有效电势增加,其余两处处于衰减状态;2)多态算法下的结果能够反映有效电势对孔压分布的影响,与经典结果相比变化主要集中在单元中部;3)初始条件继承带来的孔压幅值突变现象会随着状态段数的增加而减小,在孔压曲线较为平滑后,继续增加状态段数量对于计算精度的提升有限。该方法实现思路简洁、清晰,更加符合真实情况。

The attenuation of effective potential leads to the poor effect of electroosmosis in the later stage,and the influence of the change of ef-fective potential cannot be considered in the classical electroosmotic consolidation theory.Aiming at this problem,in the rectangular layout,tak-ing the point electrode unit as the research model,by focusing on the contradiction between the effective potential attenuation and the restriction conditions when introducing the intermediate variable,the Riemann summation form is introduced to segment the effective potential attenuation by polymorphism,which ensures the establishment of the intermediate variable equation in the Riemann state segment.By considering the unity of the effective potential attenuation and electroosmotic consolidation in the time dimension,the initial condition is adopted.The unsteady state solution in the time domain is transformed into the updating iteration of the initial conditions between the state segments.The finite element form of the method is given based on Galerkin’s method,and is programmed with Python.The results show that:1)in the process of electroosmosis,the change of the effective potential at the anode is affected by the length of the seepage path,and the effective potential of the far anode is in-creasing,and the other two parts are in the state of attenuation;2)the results of the multi-state algorithm can reflect the distribution of the effect-ive potential on the pore pressure compared with the classical results,and the change is mainly concentrated in the middle of the element.3)The mutation of pore pressure amplitude caused by the inheritance of initial conditions decreases with the increase of the number of state segments.When the pore pressure curve is smooth,the increase of the number of state segments by inheritance has limited improvement on the calculation accuracy.This method is simple,clear and more in line with the real situation.